Alright, I've taken a look at your character and here's what I think you need to change to make it work.
First off, not a big thing, you need to change the name. In Japanese they write the last name (family name) first and the first name (person name) last. It's really not a big thing, but the hatter will get mad at you.
Second:
"Age:
Around Seventeen"
"Body Type and Shape:
Yuukino being fourteen years old"
Once again, no big deal, just try to fix these little mistakes. I guess you changed the age halfway through, eh?
Third:
From background.
"In the Ninja Academy in Konohagakure, Yuukino was at the top of her class"
"noted to have the most skill in chakra control and sensory"
"her Byakuguan ability at the time were more advance than other Hyuuga members in the Academy"
Being a prodigy like this kind of sets the wrong mood. I won't tell you to change it right now, but we should wait and see what the hatter says.
"After graduation of the Ninja Academy, her parents moved to the Outskirts of Gobigakure."
Um...
In Neji's flashback (or whatever) during the chuunin exam we see that the clan would rather kill one of their own than allow someone with their kekkei genkai (bloodline limit) to leave the village. There would have to be something really big happening for them to just allow this.
Our glorious leader, Hyuuga Hiroshi, has such a reason in his background, but we wish to keep this a secret for now.
"she passed the Chunin Exams in Konohagakure, since the village of Gobigakure wasn’t large enough"
This one's really not your fault, we weren't clear enough and the matter never really came up. Except in Rondo's character, but it didn't create an issue there.
Thing is, Gobi stands outside the system, for good and bad. We have no forbidden techniques (because we need all the firepower we can get) but on the other hand the other villages ignore us. Promotion to chuunin pretty much lies all on our glorious leader, he simply decides when you're chuunin ranked and gives you the title.
"After passing the Chunin exams she could call herself a Chunin ninja now at the age of 13."
13 for chuunin feels very young, even by main-cast standards. Itachi, hailed as a genius, messiah and praised as a god in a small country in Africa became chuunin at 10, but yeah. In the series only Shikamaru became chuunin on his first try (age 12), and we all know what kind of a guy he was. Most of the main cast was 14 when they made the leap and even the Hyuuga genius Neji waited until he was 15.
Special traits:
"Strong Byakuguan: Yuukino was noted to have a very potent Byakuguan more advance than most members of the Hyuuga Clan, allowing her to view farther than most. It also allows a better sight into the chakra system of other ninjas, making sensory easier. "
This needs to be nerfed. You might reach this kind of level later in the game, but to start off "better than everyone" is definitely not in line with the setting of this game.
Jutsus:
Gentle Fist Style - This really doesn't need to be both here and in the special traits. One or the other will suffice.
It looks like you're trying to set up a combo here with "First strike - second strike - and final strike". Thing is... You can just go ahead, make those three into one technique, that's pretty much how that shit works.
First strike can be changed to this
http://naruto.wikia.com/wiki/Palm_Bottom, uppercut is a basic move and Vacuum palm is already in your list. I'll even allow it to be a B-rank since there are a few places to either block, avoid or kawarimi out of it.
As jutsus goes i think you've balanced them fairly well, I am a bit curious as to why you went with this path instead of the normal chakra hole sealing-stuff, but that has nothing to do with if your character will get accepted or not.
And as usual, the hatter must hat. If you need help or advice, please don't hesitate to ask.
